辅助模型辨识方法(1):自回归输出误差系统

doi:10.13878/j.cnki.jnuist.2016.01.001

2025年5月6日 0:22 星期二

首页 > 过刊浏览>2016年第8卷第1期 >1-22. DOI:10.13878/j.cnki.jnuist.2016.01.001

辅助模型辨识方法(1):自回归输出误差系统
DOI:
                        10.13878/j.cnki.jnuist.2016.01.001
                    
作者:
                        丁锋丁锋
江南大学 物联网工程学院, 无锡, 214122;江南大学 控制科学与工程研究中心, 无锡, 214122;江南大学 教育部轻工过程先进控制重点实验室, 无锡, 214122
在期刊界中查找
在百度中查找
在本站中查找

                    
作者单位:
作者简介:
通讯作者:
中图分类号:
基金项目:国家自然科学基金(61273194);江苏省自然科学基金(BK2012549);高等学校学科创新引智"111计划"(B12018)

Auxiliary model identification methods.Part A: Autoregressive output-error systems

Author:

DING Feng
DING Feng
School of Internet of Things Engineering, Jiangnan University, Wuxi 214122;Control Science and Engineering Research Center, Jiangnan University, Wuxi 214122;Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122
在期刊界中查找
在百度中查找
在本站中查找

Affiliation:

Fund Project:

摘要

图/表

访问统计

参考文献

相似文献

引证文献

资源附件

文章评论

摘要:

研究了自回归输出误差(AR-OE)系统的辅助模型随机梯度算法、辅助模型多新息随机梯度算法、辅助模型递推最小二乘算法,自回归输出误差自回归滑动平均(AR-OEARMA)系统(即AR-Box-Jenkins系统)的辅助模型广义增广随机梯度算法、辅助模型多新息广义增广随机梯度算法、辅助模型递推广义增广最小二乘算法,以及AR-Box-Jenkins系统的基于滤波的辅助模型广义增广随机梯度算法、基于滤波的辅助模型多新息广义增广随机梯度算法、基于滤波的辅助模型递推广义增广最小二乘算法等.

关键词:参数估计;递推辨识;梯度搜索;最小二乘;滤波;分解;辅助模型辨识思想;多新息辨识理论;递阶辨识原理;方程误差系统;输出误差系统;线性系统

Abstract:

This paper presents an auxiliary model (AM) based stochastic gradient (SG) algorithm,an AM multi-innovation SG algorithm and an AM recursive least squares algorithm for autoregressive output-error systems and presents a filtering based AM generalized extended SG algorithm,a filtering based AM multi-innovation generalized extended SG algorithm and a filtering based AM recursive generalized extended least squares algorithm for autoregressive output-error autoregressive moving average (AR-OEARMA) systems,namely autoregressive Box-Jenkins systems.

Key words:parameter estimation;recursive identification;gradient search;least squares;filtering;decomposition;auxiliary model identification idea;multi-innovation identification theory;hierarchical identification principle;equation-error system;output-error system;linear system

参考文献

[1] 丁锋.系统辨识新论[M].北京:科学出版社,2013 DING Feng.System identification:New theory and methods[M].Beijing:Science Press,2013

[2] 丁锋.系统辨识:辨识方法性能分析[M].北京:科学出版社,2014 DING Feng.System identification:Performance analysis for identification methods[M].Beijing:Science Press,2014

[3] 丁锋.系统辨识:多新息辨识理论与方法[M].北京:科学出版社,2016 DING Feng.System identification:Multi-Innovation identification theory and methods[M].Beijing:Science Press,2016

[4] Ding F,Liu X P,Liu G.Identification methods for Hammerstein nonlinear systems[J].Digital Signal Processing,2011,21(2): 215-238

[5] 丁锋.系统辨识(4):辅助模型辨识思想与方法[J].南京信息工程大学学报(自然科学版),2011,3(4):289-318 DING Feng.System identification.Part D:Auxiliary model identification idea and methods[J].Journal of Nanjing University of Information Science and Technology(Natural Science Edition),2011,3(4):289-318

[6] 丁锋,汪菲菲,汪学海.类多变量输出误差系统的耦合多新息辨识方法[J].南京信息工程大学学报(自然科学版),2014,6(3):193-210 DING Feng,WANG Feifei,WANG Xuehai.Coupled multi-innovation identification methods for multivariable output-error-like systems[J].Journal of Nanjing University of Information Science and Technology(Natural Science Edition),2014,6(3):193-210

[7] 丁锋,郭兰杰.线性参数系统的多新息辨识方法[J].南京信息工程大学学报(自然科学版),2015,7(4):289-312 DING Feng,GUO Lanjie.Multi-innovation identification methods for linear-parameter systems[J].Journal of Nanjing University of Information Science and Technology(Natural Science Edition),2015,7(4):289-312

[8] 丁锋.输出误差类系统的多新息辨识方法[J].南京信息工程大学学报(自然科学版),2015,7(6):481-503 DING Feng.Multi-innovation identification methods for output-error type systems.Journal of Nanjing University of Information Science and Technology(Natural Science Edition),2015,7(6):481-503

[9] 丁锋,谢新民.传递函数阵子子模型参数递推估计:辅助模型方法[J].控制与决策,1991,6(6):447-452 DING Feng,XIE Xinmin.Recursive parameter estimation of transfer matrix sub-submodels:An auxiliary model method[J].Control and Decision,1991,6(6):447-452

[10] 丁锋,谢新民.多变量系统的辅助模型辨识算法[J].清华大学学报(自然科学版),1992,32(4):100-106 DING Feng,XIE Xinmin.Auxiliary model identification method for multivariable systems[J].Journal of Tsinghua University(Science and Technology),1992,32(4):100-106

[11] 王治祥,丁锋.z-s变换及其应用[J].控制与决策.1995,10(1):89-92 WANG Zhixiang,DING Feng.z-s transform and its applications[J].Control and Decision,1995,10(1):89-92

[12] 丁锋.多变量系统的辅助模型辨识方法的收敛性分析[J].控制理论与应用,1997,14(2):192-200 DING Feng.Convergence analysis of auxiliary model identification algorithms for multivariable systems[J].Control Theory and Applications,1997,14(2):192-200

[13] Ding F,Chen T.Combined parameter and output estimation of dual-rate systems using an auxiliary model[J].Automatica,2004,40(10):1739-1748

[14] Ding F,Chen T.Identification of dual-rate systems based on finite impulse response models[J].International Journal of Adaptive Control and Signal Processing,2004,18(7):589-598

[15] Ding F,Chen T.Parameter estimation of dual-rate stochastic systems by using an output error method[J].IEEE Transactions on Automatic Control,2005,50(9):1436-1441

[16] Ding F,Shi Y,Chen T.Auxiliary model based least-squares identification methods for Hammerstein output-error systems[J].Systems and Control Letters,2007,56(5):373-380

[17] Ding F,Chen H B,Li M.Multi-innovation least squares identification methods based on the auxiliary model for MISO systems[J].Applied Mathematics and Computation,2007,187(2):658-668

[18] 王冬青,丁锋.Box-Jenkins模型的基于辅助模型的多新息广义增广随机梯度算法[J].控制与决策,2008,23(9):999-1003,1010 WANG Dongqing,DING Feng.Auxiliary model based multi-innovation generalized extended stochastic gradient algorithms for Box-Jenkins models[J].Control and Decision,2008,23(9):999-1003,1010

[19] 谢莉,王冬青,丁锋.随机干扰系统的辅助模型递推广义增广最小二乘辨识方法[J].科学技术与工程,2008,8(14):3944-3945,3965 XIE Li,WANG Dongqing,DING Feng.AM-RGELS algorithms for general stochastic systems[J].Science Technology and Engineering,2008,8(14):3944-3945,3965

[20] Ding F,Liu X P,Liu G.Auxiliary model based multi-innovation extended stochastic gradient parameter estimation with colored measurement noises[J].Signal Processing,2009,89(10):1883-1890

[21] Liu Y J,Xiao Y S,Zhao X L.Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model[J].Applied Mathematics and Computation,2009,215(4):1477-1483

[22] Liu Y J,Xie L,Ding F.An auxiliary model recursive least squares parameter estimation algorithm for non-uniformly sampled multirate systems[J].Proceedings of the Institution of Mechanical Engineers,Part I:Journal of Systems and Control Engineering,2009,223(4):445-454

[23] Han L L,Sheng J,Ding F,et al.Auxiliary models based recursive least squares identification for multirate multi-input systems[J].Mathematical and Computer Modelling,2009,50(7-8):1100-1106

[24] 刘艳君,谢莉,丁锋.非均匀采样数据系统的AM-RLS辨识方法及仿真研究[J].系统仿真学报,2009,21(19):6186-6189 LIU Yanjun,XIE Li,DING Feng.AM-RLS identification and simulation studies for non-uniformly sampled-data systems[J].Journal of System Simulation,2009,21(19):6186-6189

[25] Ding F,Liu X P,Liu G.Multi-innovation least squares identification for system modeling[J].IEEE Transac牴敩獯?扳愠獯敮搠?楹瑳整牥慭瑳椬癍敡?椬摡敮湤琠楃晹楢捥慲瑮楥潴湩?浳攬瑐桡潲摴猠?昺潃特?佥??慥湴摩?佳????猰礬猴琰攨洳猩嬺?崶??椷朷椸琼慢汲￣卛椲朶湝愠汌?偵爠潘挠敇猬獌極渠杊??づ?び?㈠び????????????戠物?孥??嵴?坶慥渠杩???兴??敩慣獡瑴?獯煮甠慦牯敲猠?戠慣獬敡摳?爠敯捦甠牭獵楬癴敩?慡湴摥?楳瑹敳牴慥瑭楳癛敊?攮獁瑵楴浯慭瑡楴潩湣?昬漲爰?漰甬琴瀶用琳?攺爵爴漹爭‵洵漴瘼楢湲朾?愲瘷敝爠慄杩敮?猠祆猬瑄敩浮獧?畊献楌湥条?摴愠瑳慱?晡楲汥瑳攠牰楡湲条孭?嵴???呥??潩湭瑡牴潩汯?琠桷敩潴牨礠?慲湲摥??灬灡汲楬捹愠瑭楩潳湳獩??????????????????????扡牬?孊??嵲??慬渠???允?卡潰湴杩?????塮楴慲潯?夠?卮?攠瑓?慧汮?偬攠牐晲潯牣浥慳湳捩敮?愬渲愰氱礰猬椲猴?漷昩?琵栴攰????匼??瀾慛爲愸浝攠瑗敡牮?攠獄琠楑洬慄瑩楮潧渠?昮潐牥?浦畯汲瑭楡癮慣牥椠慡扮污敬?獳祩獳琠敯浦猠孴?嵥??灵灸汩楬敩摡??愠瑭桯敤浥慬瑳椠换獡?慥湤搠??潬浴灩甭瑩慮瑮楯潶湡??は?ㄠ???????????????????戠牥?孴?ね嵡?塩楯敮???奧慯湲杩???娠??楲渠杯???創整挠略牲獲楯癲攠?汹敳慴獥瑭?獛煊畝愮牄敩獧?灴慡牬愠浓敩瑧敮牡?攠獐瑲楯浣慥瑳楳潩湮?昬漲爰?渰漬渲?用渳椩昺漷爵洰氭礷?猲愼浢灲氾敛搲?獝礠獗瑡敮浧猠?戠慑猬敃摨?漠湙?瑙栬敄?摮慧琠慆?晁極汸瑩敬物楡湲杹嬠?嵯??慬琭桢敡浳慥瑤椠捒慅汌?愠湡摮??潍浉瀭畅瑌敓爠??潧摯敲汩汴楨湭杳??は?ㄠ?????????????????扳特?孴??嵳?塊楝攮???奰慵湴来???婡??爠慍摡楴敨湥瑭?扴慩獣敳搠?楩瑴敨爠慁瑰楰癬敩?楡摴敩湯瑮楳昬椲挰愱琰椬漵渹?昹漩爺″渰漹渲?申渰椹昸漼牢浲￣獛愳洰灝氠敗摡?潧甠瑄瀠畑琬?敨牵爠潙爠?猬祙獡瑮敧洠獇嬠?崬??漠畡牬渮慁汵?潩晬?噡楲批爠慭瑯楤潥湬?慢湡摳??漠湲瑥牣潵汲??ぶ?ㄠ???????????????扳牴?孳??嵡?婥桳愠湰条?婡?乥??楲渠来????楡畴?塯????楲攠版慡牭捭桥楲捳慴汥?杮爠慏摅楁敒渠瑳?扳慴獥敭摳?楊瑝攮牍慡瑴楨癥敭?灴慩牣慡浬攠瑡敮牤?敃獯瑭楰浵慴瑥楲漠湍?慤汥杬潬物楮瑧栬洲‰昱漰爬‵洲用氱琯椲瘩愺爳椰愹戭氳攱?漼畢瑲瀾畛琳?敝爠牘潩牥?浌漬癙楡湮杧?慈瘠敚爬慄杩敮?猠祆献瑍敯浤獥孬?嵮??潡浮灤甠瑩敤牥獮?慩湦摩??慴瑩桯敮洠慦瑯楲挠獮?睮椭瑵桮??灯灲汭楬捹愠瑰楥潲湩獯??っ????ㄠ????????????戠牳?孳??嵭??楊湝朮????畃?奮?偲敯牬映潔牨浥慯湲捹攠?慮湤愠汁祰獰楬獩?潡晴?瑯桮敳?愲田砱椰氬椴愨爵礩?洷漸搴攭氷?戴愼獢敲搾?氳攲慝猠瑌?獵焠留愠牊攬獗?楮摧攠湄琠楑昬楄捩慮瑧椠潆渮?慥污杳潴爭楳瑱桵浡?晥潳爠?潡湳敥?猠瑩整灥?獡瑴慩瑶敥?摡敬汧慯祲?獴票獭瑳攠浦獯孲?嵩??湮瑴敩牦湹慩瑮楧漠湂慯汸??潥畮牫湩慮汳?潭景??潬浳瀠畷瑩整牨??慩瑮桩整浥愠瑭楥捡獳??づ???????????そ????ど???戠牓?孧??嵬?坐慲湯杣???兩??椬渲朰????椰攨爵愩爺挱栴椵挸愭氱?氶攷愼獢瑲￣獛焳申慝爠敗獡?敧猠瑄椠浑愬瑙楡潮湧?慇氠杗漬牄楩瑮桧洠?昮潇牲??慩浥浮整爭獢瑡敳楥湤?坩楴敥湲敡牴?獶祥猠瑰敡浲獡孭?嵴??????卩業条湴慩汯?倠牦潯捲攠獂獯楸渭杊??敫瑩瑮敳爠獳??ぴ???ㄠ???????????㈠??扡牳?孲??嵥??甠?奡??楛湊杝????異硵楴汥楲慳爠祡?浤漠摍敡汴?扥慭獡整摩?汳攠慷獩瑴?猠煁異慰牬敩獣?楴摩敯湮瑳椬昲椰挱愰琬椶漰渨‵洩攺琱栲漰搰?昱漲爰?愼?獲琾慛琳攴?猠灘慩捡敮?洠潌搠敌氬?睩楥琠桌?慂?畄湩楮瑧?瑒椠浆攮?摩敥汲慡祲季?嵩??灬瀠汬楥敡摳??慳瑱桵敡浲慥瑳椠捡慬汧??潩摴敨汭汳椠湦杯?㈠び????????????????????戭牯?孴??嵴??慹湳?????坢畡???堠?卮栠整湨来???數瑩?慩污?呹眠潭?牤敥捬畛牊獝椮癍敡?汨敥慭獡瑴?獣煡畬愠牡敮獤?灃慯牭慰浵整瑥敲爠?敯獤瑥楬浬慩瑮楧漬渲‰愱氰本漵爲椨琵栯洶猩?昹漱爸?洹甲水琼楢牲愾瑛攳‵浝甠汄瑩楮灧氠敆?楌湩灵甠瑘?獐礮獁瑵數浩獬?扡祲?甠獭楯湤来?琠桢敡?慥畤砠楳汴楯慣牨祡?浴潩摣攠汧孲?嵤??慮瑴栠敡浬慧瑯楲捩獴?慭渠摦??漠浭灵畬瑴敩牶獡?楩湡?卬楥洠畯汵慴瑰極潴渠??ひ?????????????????扡爠?孵??嵭??畩慣湡??????楡愬′???椬渳朶?刷???吹眳漭?猹琸愼杢敲￣牛攳挶畝爠獄楩癮敧?汆攬慌獩瑵?獇焬界慩牵攠獘?灐愮牐慡浲敡瑭敥牴?敲猠瑥楳浴慩瑭楡潴湩?慮氠杷潩牴楨琠桳浣?晲潣牥?潭略瑡灳畵瑲?敭牥牮潴牳?浊潝搮敁汵獴孯?嵡??慣瑡栬攲洰愱琱椬挴愷氨?愩渺搱??漶洭瀱甶琵攵爼??漾摛攳氷汝椠湄杩????水???????????????????扥牮?嬠??嵳?婤栠慡湮杤?婬?乡??椭慳????椀渀最?刀????椀攀爀愀爀挀栀椀挀愀氀?氀攀愀猀琀?猀焀甀愀爀攀猀?戀愀猀攀搀?椀琀攀爀愀琀椀瘀攀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀?昀漀爀?洀甀氀琀椀瘀愀爀椀愀戀氀攀??漀砀??攀渀欀椀渀猀?氀椀欀攀?猀礀猀琀攀洀猀?甀猀椀渀最?琀栀攀?愀甀砀椀氀椀愀爀礀?洀漀搀攀氀嬀?崀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀愀氀??漀洀瀀甀琀愀琀椀漀渀??　?????????????　??????戀爀?嬀??崀??椀渀最????甀愀渀?????吀眀漀?猀琀愀最攀?瀀愀爀愀洀攀琀攀爀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀猀?昀漀爀??漀砀??攀渀欀椀渀猀?猀礀猀琀攀洀猀嬀?崀???吀?匀椀最渀愀氀?倀爀漀挀攀猀猀椀渀最??　?????????????????戀爀?嬀?　崀??椀渀最????甀?夀?倀攀爀昀漀爀洀愀渀挀攀?愀渀愀氀礀猀椀猀?漀昀?琀栀攀?愀甀砀椀氀椀愀爀礀?洀漀搀攀氀?戀愀猀攀搀?猀琀漀挀栀愀猀琀椀挀?最爀愀搀椀攀渀琀?瀀愀爀愀洀攀琀攀爀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀?昀漀爀?猀琀愀琀攀?猀瀀愀挀攀?猀礀猀琀攀洀猀?眀椀琀栀?漀渀攀?猀琀攀瀀?猀琀愀琀攀?搀攀氀愀礀嬀?崀??椀爀挀甀椀琀猀?匀礀猀琀攀洀猀?愀渀搀?匀椀最渀愀氀?倀爀漀挀攀猀猀椀渀最??　??????????????????戀爀?嬀??崀??甀?倀?倀??椀渀最???匀栀攀渀????甀砀椀氀椀愀爀礀?洀漀搀攀氀?戀愀猀攀搀?氀攀愀猀琀?猀焀甀愀爀攀猀?瀀愀爀愀洀攀琀攀爀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀?昀漀爀?昀攀攀搀戀愀挀欀?渀漀渀氀椀渀攀愀爀?猀礀猀琀攀洀猀?甀猀椀渀最?琀栀攀?栀椀攀爀愀爀挀栀椀挀愀氀?椀搀攀渀琀椀昀椀挀愀琀椀漀渀?瀀爀椀渀挀椀瀀氀攀嬀?崀??漀甀爀渀愀氀?漀昀?琀栀攀??爀愀渀欀氀椀渀??渀猀琀椀琀甀琀攀??渀最椀渀攀攀爀椀渀最?愀渀搀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀猀??　?????　??　????????????戀爀?嬀??崀??椀渀最????椀攀爀愀爀挀栀椀挀愀氀?瀀愀爀愀洀攀琀攀爀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀猀?昀漀爀?洀甀氀琀椀瘀愀爀椀愀戀氀攀?猀礀猀琀攀洀猀?甀猀椀渀最?洀攀愀猀甀爀攀洀攀渀琀?椀渀昀漀爀洀愀琀椀漀渀嬀?崀??渀昀漀爀洀愀琀椀漀渀?匀挀椀攀渀挀攀猀??　????????????　??戀爀?嬀??崀?圀愀渀最?堀????椀渀最???倀攀爀昀漀爀洀愀渀挀攀?愀渀愀氀礀猀椀猀?漀昀?琀栀攀?爀攀挀甀爀猀椀瘀攀?瀀愀爀愀洀攀琀攀爀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀猀?昀漀爀?洀甀氀琀椀瘀愀爀椀愀戀氀攀??漀砀??攀渀欀椀渀猀?猀礀猀琀攀洀猀嬀?崀??漀甀爀渀愀氀?漀昀?琀栀攀??爀愀渀欀氀椀渀??渀猀琀椀琀甀琀攀??渀最椀渀攀攀爀椀渀最?愀渀搀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀猀??　????????　????????????戀爀?嬀??崀?圀愀渀最???吀愀渀最?吀?刀攀挀甀爀猀椀瘀攀?氀攀愀猀琀?猀焀甀愀爀攀猀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀?愀瀀瀀氀椀攀搀?琀漀?愀?挀氀愀猀猀?漀昀?氀椀渀攀愀爀?椀渀?瀀愀爀愀洀攀琀攀爀猀?漀甀琀瀀甀琀?攀爀爀漀爀?洀漀瘀椀渀最?愀瘀攀爀愀最攀?猀礀猀琀攀洀猀嬀?崀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀猀??攀琀琀攀爀猀??　????????????戀爀?嬀??崀?圀愀渀最???吀愀渀最?吀?匀攀瘀攀爀愀氀?最爀愀搀椀攀渀琀?戀愀猀攀搀?椀琀攀爀愀琀椀瘀攀?攀猀琀椀洀愀琀椀漀渀?愀氀最漀爀椀琀栀洀猀?昀漀爀?愀?挀氀愀猀猀?漀昀?渀漀渀氀椀渀攀愀爀?猀礀猀琀攀洀猀?甀猀椀渀最?琀栀攀?昀椀氀琀攀爀椀渀最?琀攀挀栀渀椀焀甀攀嬀?崀?一漀渀氀椀渀攀愀爀??礀渀愀洀椀挀猀??　???????????????　?戀爀?嬀??崀??椀渀最???圀愀渀最?夀????椀渀最???刀攀挀甀爀猀椀瘀攀?氀攀愀猀琀?猀焀甀愀爀攀猀?瀀愀爀愀洀攀琀攀爀?椀搀攀渀琀椀昀椀挀愀琀椀漀渀?昀漀爀?猀礀猀琀攀洀猀?眀椀琀栀?挀漀氀漀爀攀搀?渀漀椀猀攀?甀猀椀渀最?琀栀攀?昀椀氀琀攀爀椀渀最?琀攀挀栀渀椀焀甀攀?愀渀搀?琀栀攀?愀甀砀椀氀椀愀爀礀?洀漀搀攀氀嬀?崀??椀最椀琀愀氀?匀椀最渀愀氀?倀爀漀挀攀猀猀椀渀最??　???????　　??　??戀爀?嬀??崀??甀漀??????椀渀最????攀愀猀琀?猀焀甀愀爀攀猀?戀愀猀攀搀?椀琀攀爀愀琀椀瘀攀?愀氀最漀爀椀琀栀洀?昀漀爀?瀀猀攀甀搀漀?氀椀渀攀愀爀?愀甀琀漀爀攀最爀攀猀猀椀瘀攀?洀漀瘀椀渀最?愀瘀攀爀愀最攀?猀礀猀琀攀洀猀?甀猀椀渀最?琀栀攀?搀愀琀愀?昀椀氀琀攀爀椀渀最?琀攀挀栀渀椀焀甀攀嬀?崀??漀甀爀渀愀氀?漀昀?琀栀攀??爀愀渀欀氀椀渀??渀猀琀椀琀甀琀攀??渀最椀渀攀攀爀椀渀最?愀渀搀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀猀??　????????　????????????戀爀?嬀??崀?圀愀渀最?堀????椀渀最????漀渀瘀攀爀最攀渀挀攀?漀昀?琀栀攀?愀甀砀椀氀椀愀爀礀?洀漀搀攀氀?戀愀猀攀搀?洀甀氀琀椀?椀渀渀漀瘀愀琀椀漀渀?最攀渀攀爀愀氀椀稀攀搀?攀砀琀攀渀搀攀搀?猀琀漀挀栀愀猀琀椀挀?最爀愀搀椀攀渀琀?愀氀最漀爀椀琀栀洀?昀漀爀??漀砀??攀渀欀椀渀猀?猀礀猀琀攀洀猀嬀?崀?一漀渀氀椀渀攀愀爀??礀渀愀洀椀挀猀??　?????????????????　?戀爀?嬀??崀?圀愀渀最???娀栀甀???倀愀爀愀洀攀琀攀爀?椀搀攀渀琀椀昀椀挀愀琀椀漀渀?漀昀?愀?挀氀愀猀猀?漀昀?渀漀渀氀椀渀攀愀爀?猀礀猀琀攀洀猀?戀愀猀攀搀?漀渀?琀栀攀?洀甀氀琀椀?椀渀渀漀瘀愀琀椀漀渀?椀搀攀渀琀椀昀椀挀愀琀椀漀渀?琀栀攀漀爀礀嬀?崀??漀甀爀渀愀氀?漀昀?琀栀攀??爀愀渀欀氀椀渀??渀猀琀椀琀甀琀攀??渀最椀渀攀攀爀椀渀最?愀渀搀??瀀瀀氀椀攀搀??愀琀栀攀洀愀琀椀挀猀??　????????　???????????

引用本文

丁锋.辅助模型辨识方法(1):自回归输出误差系统[J].南京信息工程大学学报(自然科学版),2016,8(1):1-22
DING Feng. Auxiliary model identification methods. Part A: Autoregressive output-error systems[J]. Journal of Nanjing University of Information Science & Technology, 2016,8(1):1-22

复制

文章指标

点击次数:999
下载次数: 2119
HTML阅读次数: 0
引用次数: 0

历史

收稿日期:2015-11-21
最后修改日期:
录用日期:
在线发布日期: 2016-02-24
出版日期:

地址：江苏省南京市宁六路219号邮编：210044

联系电话：025-58731025 E-mail：nxdxb@nuist.edu.cn

引用本文

分享

文章指标

历史